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A span is always a subspace — Krista King Math

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We can conclude that every span is a subspace. Remember that the span of a vector set is all the linear combinations of that set. The span of any set of vectors is always a valid subspace.

Hi, I'm Krista. Your geeky, trusty math tutor. I’m the nerd behind all these magical math tricks and the tutor that walks you through every single calculus expert lesson. I teach you how to learn math in a non-math way your brain can actually handle. I’m addicted to seeing people uncover those “Ah-ha!” moments, and we’ve made sure that every single lesson will deliver that same feeling of immense relief, giving you the easiest experience with math that you’ve ever had.

Theorem 4.3.1 (Spanning Set Is the Smallest Subspace)

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Span is always a subspace

Krista King Math, Online math help

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Krista King Math, Online math help, Krista King Math

A span is always a subspace — Krista King Math

spans — Krista King Math, Online math help

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